To sketch: The function by hand without plotting any points and then graph of the function .
It is given that .
Express the given function as follows.
Thus, draw the graph of .
The standard graph of the function is roughly drawn as shown below in Figure 1.
Then, draw the graph of , shift the graph by 2 units to the right. Thus, the graph of is shown below in Figure 2.
From Figure 2, it is observed that Figure 1 is shifted 2 units to the right.
To draw the graph of , shift the graph by 1 unit upward. Thus, the graph of is shown below in Figure 3.
Observe that Figure 3is obtainedfrom Figure 1 in such a way that it is shifted 2 units to the right and then shifted 1 unit upward.
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